The argument is too weak. There are too many variables. In my opinion this approaches to pseudoscience.

Pseudoscience consists of statements, beliefs, or practices that are claimed to be scientific and factual in the absence of evidence gathered and constrained by appropriate scientific methods.[1][Note 1] Pseudoscience is often characterized by the following: contradictory, exaggerated or unprovable claims; reliance on confirmation bias rather than rigorous attempts at refutation; lack of openness to evaluation by other experts; and absence of systematic practices when developing theories. Wikipedia

I wouldn't go that far.
It's sloppy journalism. The article is an article, not a scientific paper.

It's fairly certain that bubble universes exist and ours is one. This is not the same thing as what comes to mind with the phrase "parallel universe" though. There's no reason to think there's anything "parallel" about them, if bubble universes are real.

If they are not, then a whole lot of other stuff is also completely wrong.